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ccosh(3)                 BSD Library Functions Manual                 ccosh(3)


NAME

     ccosh -- complex hyperbolic cosine function


SYNOPSIS

     double complex
     ccosh(double complex z);

     long double complex
     ccoshl(long double complex z);

     float complex
     ccoshf(float complex z);


DESCRIPTION

     ccos(z) computes the hyperbolic cosine of the complex floating-point num-
     ber z.

     For all complex floating point numbers z,

           ccosh(conj(z)) = conj(ccosh(z)),
           ccosh(-z) = ccosh(z).


SPECIAL VALUES

     The symmetries of ccosh() are used to abbreviate the specification of
     special values.

     ccosh(0 + 0i) returns 1 + 0i.

     ccosh(0 + inf i) returns NaN + 0i, and raises the invalid flag.

     ccosh(0 + NaN i) returns NaN + 0i.

     ccosh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for
     finite nonzero x.

     ccosh(x + NaN i) returns NaN + NaN i, for finite nonzero x.

     ccosh(inf + 0i) returns inf + 0i.

     ccosh(inf + yi) returns inf * cis(y), for finite positive y, where cis(y)
     = cos(y) + i*sin(y).

     ccosh(inf + inf i) returns inf + NaN i, and raises the invalid flag.

     ccosh(inf + NaN i) returns inf + NaN i.

     ccosh(NaN + 0i) returns NaN + 0i.

     ccosh(NaN + yi) returns NaN + NaN i, for nonzero numbers y.

     ccosh(NaN + NaN i) returns NaN + NaN i.


NOTES


SEE ALSO

     ccos(3) complex(3)


STANDARDS

     The ccosh() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution      December 11, 2006     4th Berkeley Distribution

Mac OS X 10.9.1 - Generated Tue Jan 7 07:35:45 CST 2014
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